Answer: 5%
Step-by-step explanation:
Probability for any event = 
Given: Number of defective calculators = 25
Total calculators = 500
The probability that a calculator chosen at random will be defective= 


Hence, the required probability = 5%
Answer:
27/30 and 25/30
Step-by-step explanation:
Do you mean 9/10 and 5/6?
find the least common multiple of the denominators 10 and 6
10 = 10, 20, 30
6 = 6, 12, 18, 24, 30
The least common multiple is 30
So 9/10 x 3/3 = 27/30
and 5/6 x 5/5 = 25/30
1. Right
2. I forgot how to do that
3. X is 45
4. Y is 45
As many were opened during the time period. Jk, I don't know. This is a hard one
Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that 
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:

When 
We have that:



0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season